Abstract
By reexamination of the boundary conditions of wave equation on a black hole horizon it is found not harmonic, but real-valued exponentially time-dependent solutions. This means that quantum particles probably do not cross the Schwarzschild horizon, but are absorbed and some are reflected by it, what potentially can solve the famous black hole information paradox. To study this strong gravitational lensing we are introducing an effective negative cosmological constant between the Schwarzschild and photon spheres. It is shown that the reflected particles can obtain their additional energy in this effective AdS space and could explain properties of some unusually strong signals, like LIGO events, gamma ray and fast radio bursts.
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References
LIGO Scientific and Virgo Collaborations: Phys. Rev. Lett. 116, 061102 (2016). arXiv:abs/1602.03837 [gr-qc]
LIGO Scientific and Virgo Collaborations: Phys. Rev. Lett. 116, 241103 (2016). arXiv:abs/1606.04855 [gr-qc]
Piran, T.: Phys. Rept. 314, 575 (1999). arXiv:abs/astro-ph/9810256
Meszaros, P.: Rept. Prog. Phys. 69, 2259 (2006). arXiv:abs/astro-ph/0605208
Kumar, P., Zhang, B.: Phys. Rept. 561, 1 (2014). arXiv:abs/1410.0679 [astro-ph.HE]
Lorimer, D.R., Bailes, M., McLaughlin, M.A., Narkevic, D.J., Crawford, F.: Science 318, 777 (2007). arXiv:abs/0709.4301 [astro-ph]
Thornton, D. et al.: Science 341, 53 (2013). arXiv:abs/1307.1628 [astro-ph.HE]
Keane, E.F. et al.: Nature 530, 453 (2016). arXiv:abs/1602.07477 [astro-ph.HE]
Schneider, P., Ehlers, J., Falco, E. E.: Gravitational Lenses. Springer, Berlin (1992)
Schneider, P., Kochanek, C., Wambsganss, J.: Gravitational Lensing: Strong, Weak and Micro. Springer, Berlin (2006)
Darwin, C.: Proc. R. Soc. London A 249, 180 (1959). ibid. 263, 39 (1961)
Atkinson, R.: Astron. J. 70, 517 (1965)
Frittelli, S., Kling, T.P., Newman, E.T.: Phys. Rev. D 61, 064021 (2000). arXiv:abs/gr-qc/0001037
Perlick, V.: Living Rev. Rel. 7, 9 (2004)
Virbhadra, K.S., Ellis, G.F.R.: Phys. Rev. D 62, 084003 (2000). arXiv:abs/astro-ph/9904193
Virbhadra, K.S.: Phys. Rev. D 79, 083004 (2009). arXiv:abs/0810.2109 [gr-qc]
Gogberashvili, M. arXiv:abs/1712.02637 [gr-qc]
Marolf, D.: Rep. Prog. Phys. 80, 092001 (2017). arXiv:abs/1703.02143 [gr-qc]
Chandrasekhar, S.: The Mathematical Theory of Black Holes. Clarendon, New York (1983)
Starobinskii, A. A.: Sov. Phys. JETP 37, 28 (1973)
Matzner, R. A.: J. Mat. Phys. 9, 163 (1968)
Khelashvili, A., Nadareishvili, T.: Am. J. Phys. 79, 668 (2011). arXiv:abs/1009.2694 [quant-ph]
Khelashvili, A.: Phys. Part. Nucl. Lett. 12, 11 (2015). arXiv:abs/1502.04008 [hep-th]
Cantelaube, Y.C., Khelif, A.L.: J. Math. Phys. 51, 053518 (2010)
Jackson, J. D.: Classical Electrodynamics. Wiley, New York (1999)
Qin, Y. -P.: Sci. China Phys. Mech. Astron. 55, 381 (2012)
Damour, T., Ruffini, R.: Phys. Rev. D 14, 332 (1976)
Sannan, S.: Gen. Rel. Grav. 20, 239 (1988)
Elizalde, E.: Phys. Rev. D 36, 1269 (1987)
Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 024007 (1999). arXiv:abs/gr-qc/9812028
Goldstein, H.: Classical Mechanics. Addison-Wesley, New York (1950)
Motz, L., Selzer, A.: Phys. Rev. 133, B1622 (1964)
Bohm, D.: Phys. Rev. 85, 166 (1952)
Nelson, E.: Quantum Fluctuations. Princeton Univ. Press, Princeton (1985)
Hall, M.J.W., Reginatto, M.: J. Phys. A 35, 3289 (2002). arXiv:abs/quant-ph/0102069
Grössing, G.: Phys. Lett. A 372, 4556 (2008). arXiv:abs/0711.4954 [quant-ph]
Grössing, G.: Found. Phys. Lett. 17, 343 (2004). arXiv:abs/quant-ph/0311109
Gogberashvili, M.: Int. J. Theor. Phys. 50, 2391 (2011). arXiv:abs/1008.2544 [gr-qc]
Almheiri, A., Marolf, D., Polchinski, J., Sully, J.: JHEP 1302, 062 (2013). arXiv:abs/1207.3123 [hep-th]
Braunstein, S.L.: Phys. Rev. Lett. 110, 101301 (2013). arXiv:abs/0907.1190 [quant-ph]
Giddings, S.B.: Phys. Lett. B 754, 39 (2016). arXiv:abs/1511.08221 [hep-th]
Penrose, R.: Riv. Nuovo Cimento 1, 252 (1969)
Piran, T., Shaham, J.: Phys. Rev. D 16, 1615 (1977)
Cruz, N., Olivares, M., Villanueva, J.R.: Class. Quant. Grav. 22, 1167 (2005). arXiv:abs/gr-qc/0408016
Kokkotas, K.D., Schmidt, B. G.: Living Rev. Rel. 2, 2 (1999). arXiv:abs/gr-qc/9909058
Konoplya, R.A., Zhidenko, A.: Rev. Mod. Phys. 83, 793 (2011). arXiv:abs/1102.4014 [gr-qc]
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Gogberashvili, M., Pantskhava, L. Black Hole Information Problem and Wave Bursts. Int J Theor Phys 57, 1763–1773 (2018). https://doi.org/10.1007/s10773-018-3702-x
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DOI: https://doi.org/10.1007/s10773-018-3702-x